Question

Correctly order the steps to sol 2logx-log4=log4

Answer 1

To solve the equation 2logx - log4 = log4, rewrite the equation using the property of logarithms and solve for x.

Step-by-step explanation:

1. Rewrite the equation as 2logx - log4 = log4
2. Apply the property of logarithms that log(a) - log(b) = log(a/b) to simplify the equation to log(x^2/4) = log(4)
3. Set the arguments inside the logarithms equal to each other: x^2/4 = 4
4. Multiply both sides of the equation by 4 to get rid of the fraction: x^2 = 16
5. Take the square root of both sides to solve for x: x = ±4